Victor runs three laps around the track every five minutes to complete the table to show the relationship between the number of laps and time spent running. write your answers in the blank

Step-by-step explanation:

Since, Victor takes 5 minutes to cover number of laps = 3

Relation between the time (t) and number of laps (l) covered shows a proportional relationship.

l ∝ t

l = kt

k =

where k = proportionality constant

For t = 5 minutes and l = 3 laps,

k = = 0.6

Therefore, equation will be,

l = 0.6t

For t = 1 min,

l = 0.6 laps

For l = ≈ 1.2 laps

1.2 = 0.6t

t = 2

For t = 6 min,

l = 0.6(6)

l = 3.6 laps

Therefore, table will be,

Laps              0.6                 3.6          

Time (min)      1            2           6

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

its an acute right triangle

step-by-step explanation: